143948765990016 has 320 divisors, whose sum is σ = 461382318936000. Its totient is φ = 44288077363200.

The previous prime is 143948765989943. The next prime is 143948765990023. The reversal of 143948765990016 is 610099567849341.

It is a happy number.

143948765990016 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 487 + 6 + 59 + 90 + 0 + 1 + 6 = 666.

It is a super-2 number, since 2×143948765990016² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1812939885 + ... + 1813019283.

It is an arithmetic number, because the mean of its divisors is an integer number (1441819746675).

Almost surely, 2^{143948765990016} is an apocalyptic number.

143948765990016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143948765990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230691159468000).

143948765990016 is an abundant number, since it is smaller than the sum of its proper divisors (317433552945984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

143948765990016 is a wasteful number, since it uses less digits than its factorization.

143948765990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92889 (or 92868 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 143948765990016 in words is "one hundred forty-three trillion, nine hundred forty-eight billion, seven hundred sixty-five million, nine hundred ninety thousand, sixteen".